Heat olive oil in a large, heavy skillet over high heat.,Add onions; stir-fry 2 minutes.,______,Stir in barbecue sauce; cook 1 minute.,Remove from heat.,Cover; keep warm.,Meanwhile, prepare a grill or grill pan for medium-high heat.,Lightly mix turkey, milk, parsley, paprika, salt and pepper in a large bowl; form into 4 patties.,Grill until just cooked through, turning once, about 8 minutes.,Place on bun bottoms; top each with onions and top buns.